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Finding the Fourth Proportional to 83,642.34, 125,488.14 and 44,227.14

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Solution

The fourth proportional to 83,642.34, 125,488.14 and 44,227.14 is: 66,353.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,642.34 : 125,488.14 = 44,227.14 : x
  2. Step 2: Convert to fraction form
    83,642.34/125,488.14 = 44,227.14/x
  3. Step 3: Cross multiply
    83,642.34x = 125,488.14 × 44,227.14
  4. Step 4: Simplify right side
    83,642.34x = 5,549,981,536.12
  5. Step 5: Solve for x
    x = 5,549,981,536.12/83,642.34
  6. Step 6: Final answer
    x = 66,353.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.